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dc.contributor.authorŞiar, Zafer
dc.contributor.authorKeskin, Refik
dc.date.accessioned2022-03-14T06:43:49Z
dc.date.available2022-03-14T06:43:49Z
dc.date.issued2014en_US
dc.identifier.citationŞiar, Z., & Keskin, R. (2014). The square terms in generalized lucas sequences. Mathematika, 60(1), 85-100. doi:10.1112/S0025579313000193en_US
dc.identifier.issn2041-7942
dc.identifier.issn0025-5793
dc.identifier.urihttps/doi.org/10.1112/S0025579313000193
dc.identifier.urihttps://hdl.handle.net/11552/2376
dc.description.abstractLet P and Q be non-zero integers. The generalized Fibonacci sequence {U-n} and Lucas sequence {V-n} are defined by U-0 = 0, U-1 = 1 and Un+1 = PUn + QU(n-1) for n >= 1 and V-0 = 2, V-1 = P and Vn+1 = PVn + QV(n-1) for n >= 1, respectively. In this paper, we assume that Q = 1. Firstly, we determine indices n such that V-n = kx(2) when k|P and P is odd. Then, when P is odd, we show that there are no solutions of the equation V-n = 3 square for n > 2. Moreover, we show that the equation V-n = 6 square has no solution when P is odd. Lastly, we consider the equations V-n = 3V(m)square and V-n = 6V(m)square. It has been shown that the equation V-n = 3V(m)square has a solution when n = 3, m = 1, and P is odd. It has also been shown that the equation V-n = 6V(m)square has a solution only when n = 6. We also solve the equations V-n = 3 square and V-n = 3V(m)square under some assumptions when P is even.en_US
dc.language.isoengen_US
dc.publisherWileyen_US
dc.identifier.doi10.1112/S0025579313000193en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleThe Square Terms in Generalized Lucas Sequencesen_US
dc.typearticleen_US
dc.relation.ispartofMathematikaen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.authorid0000-0002-6473-4754en_US
dc.identifier.volume60en_US
dc.identifier.issue1en_US
dc.identifier.startpage85en_US
dc.identifier.endpage100en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.relation.indexScopusen_US
dc.relation.indexWoSen_US
dc.relation.indexWoS - Science Citation Index Expandeden_US
dc.contributor.institutionauthorŞiar, Zafer
dc.description.wospublicationidWOS:000331780400006en_US
dc.authorscopusid55630086000en_US
dc.description.wosqualityQ3en_US
dc.description.wosqualityQ4en_US


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